Task# Numbers in a Multiplication Table

Illustrative MathematicsVaries

The goal of this task is to encourage students to study the multiplication table, a familiar object, from a novel point of view. The table shows some, but not necessarily all, factorizations of different numbers. For example, 24 appears 4 times in the table. For the 9 by 9 multiplication table shown, only the numbers 1 through 9 appear with all of their factorizations. Working through the table to see where different numbers appear, the students will have a good opportunity to observe the symmetry of the table which comes from the commutative property of multiplication.